![]() Mainly the study of differential equations consists of the study of their solutions (the set of functions that satisfy each equation), and of the properties of their solutions. Such relations are common therefore, differential equations play a prominent role in many disciplines including engineering, physics, economics, and biology. In applications, the functions generally represent physical quantities, the derivatives represent their rates of change, and the differential equation defines a relationship between the two. In mathematics, a differential equation is an equation that relates one or more unknown functions and their derivatives. ![]()
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